MBA Exam

How many 6-letter sequences are there which use only A, B, C (and not necessarily all of those), with A never immediately followed by B, B never immediately followed by C, and C never immediately followed by A?

1) 96
2) 72
3) 108
4) None of these

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f(x)=(x+n+1)(x+n+2).....(x+2n) where n is a fixed number.Find f'(n)

1) (2n)!
2) (2n)!(1/(n+1)!+1/(n+2)!+...+1/(2n)!)
3) (3n)!
4) (3n)!/(2n)!*(1/(2n+1)+1/(2n+2)+....+1/(3n))
A dog taken four leaps for every five leaps of hare but three leaps of the dog is equal to four leaps of the hare. Compare speed?

1) 3:5
2) 16:15
3) 4:5
4) some other ans